Algebraic Translation
Evaluation of Algebraic Expressions
Solving Linear Equations and Literal Equations
Solving Linear Inequality
Word Problems
100
Write the algebraic expression: Five times a number squared.
5x^2
100
Evaluate: 10a3 given that a = 2
80
100
2x + 1 = 9
x = 4
100
Draw the graph of 3 > x.
100
Elijah was building a fence around his rectangular garden. The width must be thrice the length to fit his backyard. He only has 88 feet of fencing, what is the maximum length he can build.
11 feet
200
Write the algebraic expression: Two less than three times a number.
3x-2
200
Evaluate
10a^3-4b^2
given that
a=-1
and b = 2
-26
200
x/3+2=7
x = 15
200
Solve: 3 + 2(x - 4) > 7
x > 6
200
Two angles add up to 180 degrees. One angle is 6° less than twice the other angle. What are the measures of the two angles?
62 and 118
300
Write the algebraic expression: Two more than the quotient of 3 and a number.
3/x+2
300
Evaluate
(5b^2)/(|6-a|)
given that a = 8 and b = 2
10
300
3/5x+2=11
x=15
300
Solve 3(6b − 1) > 18 − 3b
b > 1
300
Two angles add up to 90 degrees. One angle is 12° more than five times the other. What are the measures of the angles?
13 and 77
400
Write the algebraic expression: The quotient of three and two more than a number.
3/(x+2)
400
Evaluate
b(root(3)(a)-2a)
given that a = 8 and b = -3
-42
400
Solve for x:
ax-b=c
x=(c+b)/a
400
Solve
(x-5)/7<=-3
x<=-16
400
The perimeter of a rectangle is 20 feet. The length of the rectangle is 3 foot longer than its width. What is the width of the rectangle?
3.5 feet
500
Write the algebraic expression: Seven times the sum of a number and one-third.
7(x+1/3)
500
Evaluate
(-b(7-a))/(|a-b|)
given a = –3 and b = 2
-4
500
Solve for h:
V=(bh)/3
h=(3V)/b
500
Solve
2/3x+9>1
x > -12
500
Terri has a budget of $750 to spend on a party. The cost of renting the room is $200 and she expects 40 people to attend. Write an inequality describes the amount of money, a, she can spend on each person then solve.
200+40a<=750
x>=137.5